Firstprinciples equationofstate table of beryllium based on densityfunctional theory calculations
Beryllium has been considered a superior ablator material for inertial confinement fusion (ICF) target designs. An accurate equationofstate (EOS) of beryllium under extreme conditions is essential for reliable ICF designs. Based on densityfunctional theory (DFT) calculations, we have established a widerange beryllium EOS table of density ρ = 0.001 to 500 g/cm ^{3} and temperature T = 2000 to 10 ^{8} K. Our firstprinciple equationofstate (FPEOS) table is in better agreement with the widely used SESAME EOS table (SESAME 2023) than the averageatom INFERNO and Purgatorio models. For the principal Hugoniot, our FPEOS prediction shows ~10% stiffer than the last two models in the maximum compression. Although the existing experimental data (only up to 17 Mbar) cannot distinguish these EOS models, we anticipate that highpressure experiments at the maximum compression region should differentiate our FPEOS from INFERNO and Purgatorio models. Comparisons between FPEOS and SESAME EOS for offHugoniot conditions show that the differences in the pressure and internal energy are within ~20%. By implementing the FPEOS table into the 1D radiation–hydrodynamic code LILAC, we studied in this paper the EOS effects on berylliumshell–target implosions. Finally, the FPEOS simulation predicts higher neutron yield (~15%) compared to the simulation using the SESAMEmore »
 Authors:

^{[1]};
^{[2]}
 Univ. of Rochester, NY (United States). Lab. for Laser Energetics. Dept. of Mechanical Engineering
 Univ. of Rochester, NY (United States). Lab. for Laser Energetics
 Publication Date:
 Grant/Contract Number:
 NA0001944
 Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 24; Journal Issue: 6; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Research Org:
 Univ. of Rochester, NY (United States)
 Sponsoring Org:
 USDOE National Nuclear Security Administration (NNSA); Univ. of Rochester (United States); New York State Energy Research and Development Authority (United States)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Beryllium; Equations of state; Inertial confinement; Computer modeling; Plasma temperature
 OSTI Identifier:
 1361691
Ding, Y. H., and Hu, S. X.. Firstprinciples equationofstate table of beryllium based on densityfunctional theory calculations. United States: N. p.,
Web. doi:10.1063/1.4984780.
Ding, Y. H., & Hu, S. X.. Firstprinciples equationofstate table of beryllium based on densityfunctional theory calculations. United States. doi:10.1063/1.4984780.
Ding, Y. H., and Hu, S. X.. 2017.
"Firstprinciples equationofstate table of beryllium based on densityfunctional theory calculations". United States.
doi:10.1063/1.4984780. https://www.osti.gov/servlets/purl/1361691.
@article{osti_1361691,
title = {Firstprinciples equationofstate table of beryllium based on densityfunctional theory calculations},
author = {Ding, Y. H. and Hu, S. X.},
abstractNote = {Beryllium has been considered a superior ablator material for inertial confinement fusion (ICF) target designs. An accurate equationofstate (EOS) of beryllium under extreme conditions is essential for reliable ICF designs. Based on densityfunctional theory (DFT) calculations, we have established a widerange beryllium EOS table of density ρ = 0.001 to 500 g/cm3 and temperature T = 2000 to 108 K. Our firstprinciple equationofstate (FPEOS) table is in better agreement with the widely used SESAME EOS table (SESAME 2023) than the averageatom INFERNO and Purgatorio models. For the principal Hugoniot, our FPEOS prediction shows ~10% stiffer than the last two models in the maximum compression. Although the existing experimental data (only up to 17 Mbar) cannot distinguish these EOS models, we anticipate that highpressure experiments at the maximum compression region should differentiate our FPEOS from INFERNO and Purgatorio models. Comparisons between FPEOS and SESAME EOS for offHugoniot conditions show that the differences in the pressure and internal energy are within ~20%. By implementing the FPEOS table into the 1D radiation–hydrodynamic code LILAC, we studied in this paper the EOS effects on berylliumshell–target implosions. Finally, the FPEOS simulation predicts higher neutron yield (~15%) compared to the simulation using the SESAME 2023 EOS table.},
doi = {10.1063/1.4984780},
journal = {Physics of Plasmas},
number = 6,
volume = 24,
place = {United States},
year = {2017},
month = {6}
}
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